Construction of L2-orthogonal elements of arbitrary order for Local Projection Stabilization

F. Schieweck, P. Skrzypacz, L. Tobiska

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    We construct L2-orthogonal conforming elements of arbitrary order for the Local Projection Stabilization (LPS). L2-orthogonal basis functions lead to a diagonal mass matrix which can be advantageous for time discretizations. We prove that the constructed family of finite elements satisfies a local inf-sup condition. Additionally, we investigate the size of the local inf-sup constant with respect to the polynomial degree. Our numerical tests show that the discrete solution is oscillation-free and of optimal accuracy in the regions away from the boundary or interior layers.

    Original languageEnglish
    Pages (from-to)87-101
    Number of pages15
    JournalApplied Mathematics and Computation
    Volume337
    DOIs
    Publication statusPublished - Nov 15 2018

    Keywords

    • L-orthogonal elements
    • Local projection stabilization

    ASJC Scopus subject areas

    • Computational Mathematics
    • Applied Mathematics

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